Neco 2024 Mathematics Question 23

Practice objective / multiple choice question 23 from the 2024 Neco Mathematics examination.

Neco 2024 Mathematics Objective / Multiple Choice Medium Difficulty
Question 23 NECO • 2024 • MATHEMATICS • objective

A line passes through the point \(A(2, -1)\) and is perpendicular to the line joining the points \(B(5, 3)\) and \(C(k, -2)\). The line meets the y‑axis at point \(D\) whose y‑coordinate is twice the x‑coordinate of \(B\). Find the value of \(k\) and give the equation of the required line in the form \(y = mx + c\).

Answer Options

Correct Answer A. k = -\frac{45}{2}; equation: y = -\frac{11}{2}x + 10
B. k = -\frac{45}{4}; equation: y = -\frac{11}{2}x + 10
C. k = -\frac{45}{2}; equation: y = -\frac{11}{2}x - 10
D. k = -\frac{45}{2}; equation: y = -\frac{9}{2}x + 10
Correct Answer
A
Correct Option:
k = -\frac{45}{2}; equation: y = -\frac{11}{2}x + 10

About This Question

This is Neco 2024 Mathematics Question 23. It is one of the objective questions from the 2024 Neco Mathematics examination.

Difficulty level: Medium .

View More Neco 2024 Mathematics Questions More Neco Practice Questions Back to Questions

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Chat with Support